To maintain objective response without modifying the material stress-strain properties of a beam-column member, this paper presents a new element integration method that confines nonlinear constitutive behavior to plastic hinge regions of a specified length while maintaining numerical accuracy. The force-based formulation is ideal for this approach because the deformations in the plastic hinge regions are computed such that the corresponding section forces are in equilibrium with the element end forces. The paper begins with the force-based beam-column element formulation using the standard Gauss-Lobatto integration rule for distributed plasticity. Then, the concept of plastic hinge integration is presented, followed by Gauss-Radau quadrature, which forms the basis for the new element integration method. This paper concludes with a numerical example that shows the inclusion of a plastic hinge length in the element integration rule enables objective response for simulating beam-column behavior.